1. Why did the Mexican War lead to conflict between North and South?

The roots of the quadratic equation x^5 - x^2 = 0 are x = 0 and x = ±√2, which can be found by factoring and setting each factor equal to 0. The quadratic can be factored into (x^2)(x^3 - 1) = 0 and then the factors can be set equal to 0, resulting in x = 0 and x = ±√2.

To find the roots of the quadratic equation x^5 - x^2 = 0, first we must factor the equation. To do this, we can recognize that there are two terms, x^5 and x^2, and that the exponents are both greater than 1, so we can factor out an x^2 from both terms. When we do this, we get (x^2)(x^3 - 1) = 0. Now we can set each factor equal to 0, so that x^2 = 0 and x^3 - 1 = 0. Solving for x in the first equation, we get x = 0. To solve for x in the second equation, we can add 1 to both sides, so that x^3 = 1. Taking the cube root of both sides, we get x = ±√2. Therefore, the roots of the quadratic equation x^5 - x^2 = 0 are x = 0 and x = ±√2.

x^5 - x^2 = 0

x^2(x^3 - 1) = 0

x^2 = 0 → x = 0

x^3 - 1 = 0 → x^3 = 1 → x = ±√2

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Answer:

P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]

Step-by-step explanation:

How to Construct Circumcenter of a Triangle?

The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:

Step 1: Draw the perpendicular bisector of any two sides of the given triangle.

Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.

Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.

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Answer:

-2

Step-by-step explanation:

x² + 6x = 40

This equation has the value of x as 4

Let's test

(4)^2 + 6(4) = 40

16 + 24 = 40

So, x is 4 in this equation

Now for the question, what is the value of x-6

We know x is 4

4 - 6 = -2

Frequently between the ages of 17 and 18, students. Seniors are students in the twelfth grade. The 12th grade, or senior year of high school, is frequently considered by students.

Exams, projects, and academic assignments are evaluated by graders, who also issue grades. They create test materials, quizzes, and other things. They develop or implement the grading criteria and system. Either hand grading or the usage of an electronic evaluation and grading application are options for them.

here ,

Students are typically between the ages of 17 and 18. Seniors are the term for students in the twelfth grade.

Twelveth grade, or senior year of high school, is often seen by students as a time to unwind and get ready to leave their old lives behind and enter either college or the workforce.

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Assuming that x and y be inversely proportionate, we can denote their relationship as x  ∝1/y. It follows that as the value of x rises, the value of y falls, and vice versa.

We need to figure out the proportionality constant k, which is similar to the a directly proportional connection.

Thus, x  ∝1/y

x = k/y

k = xy.

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The partial fraction expansion of the rational function

f(s) = 7s²+30s+27s/3+9s is 7s/9 - 164/81s + 27 + 164/27

In math the term partial fraction is defined as a method that is used to split the complicated fraction into a simpler form.

Here we have given the rational function f(s) = 7s²+30s+27s/3+9s.

And we have to find the partial fraction expansion for the function.

While we looking into the given rational function, for the given function we have to perform the partial fraction decomposition of

=>  f(s) = 7s²+30s+27s/3+9s.

And it can be simplified as,

=> f(s) = 7s²+57s/3+9s.

Take s as common on the numerator, then we get

=> f(s) = s(7s + 57) / 3 + 9s

Since the degree of the numerator is not less than degree of the denominator, perform synthetic division, then we get the result as

=> f(s) = 7s/9 + 164/27 + [-164/9]/9s + 3

When we further simplify this expression, then we get,

=> f(s) = 7s/9 + 164/27 - 164/81s + 27

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The Slope of the Line passing through (4, 7) and (2, 10) is -3/2

What is Slope?

The slope formula is used to compute the inclination or steepness of a line. The slope of the lines is calculated using the x and y coordinates of the lines. It is the ratio of the y-axis change to the x-axis change.

Solution:

A(4, 7) and B(2, 10)

Slope = y2 - y1 / x2 - x1

Slope = 10 - 7 / 2 - 4

Slope = 3 / -2

Slope = -3/2

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The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b ×  a and the associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b ×  c).

Commutative Property - The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another. The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b ×  a.

Associative Property - It is related with the grouping of numbers. It states that the product or sum of three numbers do not change even if the grouping of numbers are changed. The associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b ×  c).

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Yes, they are solvable.

In geometry, a triangle is considered to be an "AAA" triangle (or "AAA similarity") if all three of its angles are equal. Such a triangle is also known as an equilateral triangle.

An equilateral triangle is a type of triangle that has all three sides of equal length and all three angles of equal measure (60 degrees). It is a regular polygon, and it is one of the few geometric shapes that has this property.

Because all three angles in an equilateral triangle are equal, it is relatively easy to solve for various properties of the triangle. For example, the length of each side can be found if the measure of one angle and the length of one side are known. Similarly, the measure of an angle can be found if the length of one side and the measure of one angle are known.

In summary, AAA triangles are solvable because they have a consistent and predictable structure, with all sides and angles being equal.

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Yes, the integer is divisible by 3.

To determine if r is divisible by 3, we must first determine the value of r. According to statement 1, r is the product of 4 consecutive positive integers.

This means that the 4 integers must be increasing by 1 each time. The smallest integer must be 1, and the 4th integer must be 4 higher than the first, making it 5.

The product of these 4 integers is 1 x 2 x 3 x 4 = 24, which is less than 25.

Since 24 is divisible by 3, r is also divisible by 3.

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Answer:

no

Step-by-step explanation:

-5 = 7 + -2

7 + -2 = 5

no

Answer:

No

Step-by-step explanation:

7,-5 is not a point on the line

-5, -7 is on the line

Answer:

4091

Step-by-step explanation:

Given the equation;

3x + 7x − 28 + 31 − 8x

First, we would collect like terms;

3x + 7x − 8x − 28 + 31

Simplifying, we have;

For x = 2043;

2(2043) + 5 = 4086 + 5 = 4091.

The steps to graph the linear inequality is shown. (Refer to the steps below)

A linear inequality in mathematics is an inequality involving a linear function.

One of the symbols for inequality is found in linear inequality.

It displays non-equal data in graph style.

These steps will be used to graphically solve a set of linear inequalities:

1. Find y's inequality solution.

2. Represent the inequality as a linear equation and, depending on the inequality sign, graph the line as either a solid line or a dashed line.

3. Darken the area when the inequality is satisfied.

4. For every disparity, repeat steps 1 through 3.

5. The region where all of the inequalities intersect will be the solution set.

Therefore, steps to graph the linear inequality is shown.

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Thousands, hundreds, tens and ones are four types of values and there are many more.

Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.

The number 4 is in this case in the tens column. As a result, the place value of the number four is tens or tens.

Thousands, hundreds ,tens and ones are four types of values and there are many more like ones etc. Moreover after solving any problem for unknown variable the resulting numerical solution can also be termed as value.

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The ratio of milk to water in the mixture is 12:5, which means that for every 12 parts of milk, there are 5 parts of water. We can set up a proportion to solve for the amount of milk in the mixture. Let's call the amount of milk x.Then the proportion is:(12 parts milk) / (5 parts water) = (x liters milk) / (144 liters water)To solve for x, we can cross-multiply and simplify:12x = 5 * 144

x = (5 * 144) / 12

x = 60 litersThus, the amount of milk in the mixture is 60 liters.

According to the question,

ratio amount of water : milk is 5:12

given amount of water in the mixture is 144 litre,

then we have to find the value of x,

as given, 12x=144

                   x=144/12

                   x=12

or, 5(12) = 60litre.

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The three primary kinds of parameters are Input parameters, Output parameters, and Input/Output parameters.

One of the bits of data supplied as input to a function is referred to by a parameter, a special sort of variable. These bits of information represent the values of the arguments that will be used to call or invoke the function. Functions may have one or more parameters or none at all.

A function is typically defined with an ordered list of parameters so that each time it is called, the arguments are evaluated for that call and the results can be assigned to the associated parameters.

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When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.

After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).

model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.

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Answer:

[tex]Lengths:8m and 11m[/tex]

Step-by-step explanation:

Area of a triangle is [tex]\frac{1}{2}bh[/tex]

[tex]44=\frac{1}{2} (x+3)(x)\\[/tex]

[tex]44=\frac{1}{2} (x_{2 +3x)[/tex]

[tex]88=x^{2} +3x[/tex]

[tex]x^{2} +3x-88=0[/tex]

[tex](x+11)(x-8)=0[/tex]

[tex]x=8[/tex]

[tex]Lengths:8m and 11m[/tex]

Answer:

16 pi

Step-by-step explanation:

Area of a circle is pi*radius^2. In this case, the area of the full circle would be pi*8^2 which is 64pi. The area of a quarter circle would be one fourth of that, so 16pi

The slope of the line is -3/4.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

The points on the line are (-4, 5), (0,2), (4, -1).

The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ -  y₁)/(x₂ -  x₁).

The slope of the line is

(2 - 5)/(0 - (-4)) = -3/4

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While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.

Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.

How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.

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The scenario in this problem is described as follows:

There are 50 total animals in the barn, and there are 160 legs in total.

The system of equations that describes this situation is given as follows:

The variables that describe the system of equations are given as follows;

There are 50 total animals in the barn, hence:

x + y = 50.

There are 160 legs in total. Considering that each cow has four legs, while each chicken has two legs, we have that:

4x + 2y = 160.

The system of equations is composed by these two equations and can be solved using any method to identify the amounts of each animal.

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Answer: 3 pieces of pie

Step-by-step explanation:

You gave Joe two pieces at first, then you gave joe another piece of pie

2 + 1 = 3 pieces of pie

Answer:

The graph increases as it approaches -∞.

The graph decreases as it approaches ∞.

Step-by-step explanation:

f(x) = -x - 2x³ + 3x + 9

f(x) = -2x³ + 3x - x+ 9

f(x) = -2x³ + 2x+ 9

Look at the highest exponent(which is 3).

SInce the highest exponent is odd, that means that the graph approaches infinity in a different direction as per negative infinity. Since the highest exponent has a negative sign:

The graph is going UP as x-values get SMALLER ( To  -∞)

The graph is going DOWN as x-values get LARGER ( To  ∞)

Hence:

The graph increases as it approaches -∞.

The graph decreases as it approaches ∞.

Answer:

Since the degree is odd, the ends of the function will point in the opposite directions.

Odd

The value of u​ = 56.78 degree

Any triangle's three angles sum up to 180 degrees when added together. Therefore, the sum of angles A, B, and C is 180 degrees. Any triangle in the field of geometry has this property. This concept can be used to determine the measure of an angle or angles in which the degree measure is absent or not provided.

A, B, and C is 180 degrees

in a triangle <u- 40 degree <u+50 degree so <u is

<u- 40 degree

<u+50 degree

so

<u =

(u - 40 ) + (u+50 ) + u = 180

3u - (170.3) =180

u = 170.3/3 = 56.78.

The value of u​ = 56.78 degree

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Answer:

42 divided by 2

Step-by-step explanation:

42 divided by 2 equals 21 and how to find if it is correct is to add it together 21+21 or multiply it by what it was divided by 21x2

The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.

An exponential function is defined by the equation f(x) = ax, in which the exponent of the input variable x is used. The exponential curve affects both the value of x and the exponential function. The exponential function, with the form, is a crucial mathematical function. f(x) = ax.

Population growth or decline that is ongoing and whose pace of change is inversely correlated with the total number of people in the population at any given time.

The population grows exponentially as the population size increases because the growth rate per capita (per person) growth rate remains constant. The availability of resources will eventually stop populations in nature from growing exponentially.

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The annual income of Juan Vance is $12,955.17.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

In order to pay for Social Security and Medicare, the Federal Insurance Contributions Act(FICA) mandates payroll deductions from both employers and employees.

Given, Juan Vance's Weekly salary is $231.67.

∴ Annually Juan earns $(52×231.67) = $12,046.84.

FICA deducts 7.51% from it and then combines another 7.51% with the employee,

∴ The net annual income of Juan Vence is

= [{12046.84 - (7.51/100)×12046.84 + {(7.51 + 7.51)/100}×12046.84}]

= (12046.84 - 904.71 + 1813.04}.

= $12,955.17

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Actual parameters are those that are supplied into a function when it is called or those that are used to make a function call.

Using parameters, subprograms pass information. The variables or expressions listed in a subprogram call's parameter list are the real parameters.

For instance, the procedure call that follows lists the two real parameters amount and emp num:

raise_salary(emp_num, amount);

The parameters that are used when calling a function at any point in the code are the actual parameters. It is the real value that a caller has given the process. When a subroutine like Functions is invited, the parameters are what you decide.

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